x(x-5)=126

Solution for x(x-5)=126 equation:

Simplifying
x(x + -5) = 126

Reorder the terms:
x(-5 + x) = 126
(-5 * x + x * x) = 126
(-5x + x2) = 126

Solving
-5x + x2 = 126

Solving for variable 'x'.

Reorder the terms:
-126 + -5x + x2 = 126 + -126

Combine like terms: 126 + -126 = 0
-126 + -5x + x2 = 0

Factor a trinomial.
(-9 + -1x)(14 + -1x) = 0

Subproblem 1
Set the factor '(-9 + -1x)' equal to zero and attempt to solve:

Simplifying
-9 + -1x = 0

Solving
-9 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '9' to each side of the equation.
-9 + 9 + -1x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = 0 + 9
-1x = 0 + 9

Combine like terms: 0 + 9 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9
Subproblem 2
Set the factor '(14 + -1x)' equal to zero and attempt to solve:

Simplifying
14 + -1x = 0

Solving
14 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-14' to each side of the equation.
14 + -14 + -1x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = 0 + -14
-1x = 0 + -14

Combine like terms: 0 + -14 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14
Solution
x = {-9, 14}